Graph the ellipse and locate the foci: 4x2 = 36 - 9y2

Q: Graph the ellipse 9(x - 1)2 + 4(y + 3)2 = 36 and give the location of its foci.

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Q: Graph the ellipse 4x2 + 9y2 + 24x - 36y + 36 = 0 and locate the foci.

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Q: Graph the ellipse x2/64 + y2/100 = 1 and locate the foci.

A: Given that: The equation of the ellipse

Q: Find the equation of an ellipse with focus at (-6,-2), co-vertex at (-1,5) and a horizontal major…

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Q: Graph the ellipse and locate the foci.

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Q: Graph the ellipse 25x2 + 4y2 = 100 and locate the foci.

A: Given information: Equation of ellipse The standard form of an ellipse,

Q: Show work.

A: Consider the general ellipse:

Q: Graph the ellipse 4x2 + 25y2 = 100 and locate the foci.

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Q: Find the standard equation of an ellipse and sketch ( x-3)²/4 + (y+1)²/9=1

A: Standard form of an ellipse with center (h, k) and major axis is parallel to y axis :…

Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1   the…

Q: Use a graphing device to graph the ellipse. 6x2 + y2 = 36

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Q: Graph the ellipse 6x2 = 30 - 5y2 and locate the foci.

A: Consider the equation of ellipse: 6x2=30-5y2. Convert the equation of ellipse in the standard form…

Q: Draw the ellipse with the equation: 2x2 + y² + 4x – 9y = 7.

A: First convert this equation in standard form.…

Q: Graph the ellipse and locate the foci: y2/25 + x2/16 = 1

A: Given: y225+x216=1 we know that standard equation of an ellipse is given by x2a2+y2b2=1 if b2>a2…

Q: Graph the ellipse x2 + 9y2 - 4x + 54y + 49 = 0. Give the location of the foci.

A: Given ellipse is x2+9y2-4x+54y+49=0 It can be rearranged and simplified using completing the square.…

Q: Find the vertices and foci of the ellipse: 49x2 + 9y2 = 441(Round to the nearest tenth if…

A: For the standard form of ellipse x2a2+y2b2=1, vertices will be ±a, 0 or (0, ±b) as per a>b or…

Q: Find the foci and vertices of the ellipse. x^2/36+y^2/9=1

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Q: Sketch the graph of the ellipse with equation 9x + 4y = 36 %3D

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Q: Graph the ellipse, noting center, vertices, and foci. 2x2 + 3y2 – 12x + 12y + 6 = 0

A: The given equation of the ellipse is: 2x2+2y2-12x+12y+6=0 That can be written as:…

Q: Graph the ellipse 9x2 + 4y2 = 36. Give the location of the foci.

A: Given: 9x2+4y2=36 for drawing graph of given equation of ellipse, we convert it in standard form of…

Q: Sketch the graph and find the foci of the given ellipse 16x2+9y2=144

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Q: Graph the ellipse 4x2 + y2 = 16 and locate the foci.

A: Given: The equation of an ellipse is 4x2+y2=16 . The given equation of an ellipse can be converted…

Q: Find the foci of the ellipse 16x2 + 9y2 = 144, and sketch its graph.

A: Given,          ellipse=16x2+9y2=144First we put the equation in standard form.Dividing by 144, we…

Q: graph the ellipse given by the equation 36x2 + 16y² + 144x – 160y – 32 = 0?

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Q: Graph the ellipse 9x2 + 4y2 - 18x + 8y - 23 = 0 and locate the foci.

A: Solution: Consider the given equation of the ellipse 9x2 + 4y2 -18x + 8y -23 = 0 Complete the square…

Q: Find the foci of the ellipse. 25x +9y+54y-144=0

A: Foci of the ellipse: - The foci of an ellipse are two fixed points on its major axis such that the…

Q: Graph the ellipse x2/25 + y2/4 = 1. Give the location of the foci.

A: the equation of the ellipse is x225+y24=1 we have to graph the ellipse. we have to give the location…

Q: Graph the ellipse and locate the foci.

A: To graph the given ellipse equation x+129+y-2216=1

Q: Use the definition of the ellipse to obtain the Cartesian equation.

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Q: Graph the ellipse and locate the foci: 9x2 + 4y2 - 18x + 8y - 23 = 0

A: Given:            9x2+4y2-18x+8y-23=0 Find the general form of the conic.…

Q: Given the ellipse 25 y? =D1 16 List the coordinates of the foci.

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Q: Graph the ellipse and locate the foci.

A: Given, x236+y225=1

Q: find the standard equation of the ellipse  focus (-3,1), covertex (-7,6), vertical major axis

A: We can find the standard equation of the ellipse by using it's general formula, X^2/a^2 + Y^2/b^2 =…

Q: Graph the ellipse and determine the foci. 36x2 + 72x + 49y2 - 196y - 1532 = 0

A: Graph the ellipse and determine the foci. 36x2  + 72x + 49y2 - 196y - 1532 = 0

Q: Graph the ellipse 4x2 + 9y2 = 36 and locate the foci.

A: The given equation is 4x2+9y2=36

Q: Graph the ellipse and locate the foci.

A: x-1216+y+229=1⇒x-1242+y--2232=1 Comparing with x-h2a2+y-k2b2=1, we get a=4, b=3, h=1 & k=-2 Now…

Q: Find an equation for the ellipse whose graph is shown. y 3 | 4

A: Equation of ellips is determined

Q: Sketch the ellipse, and label the foci, vertices, and ends of the minor axis. 25x? + y + 25x –36y…

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Q: Sketch a graph of the ellipse 9x^2+2y-54x+y^2+46=0 and determine the coordinated of the foci, the…

A: Given, This an equation of an ellipse.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.